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Is the Standard Deviation of Set S greater than Standard

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Is the Standard Deviation of Set S greater than Standard [#permalink] New post 27 Sep 2006, 18:35
Is the Standard Deviation of Set S greater than Standard Deviation of Set T
1) The Range of Set S greater than Range of Set T
2) Mean of Set S is greater than Mean of Set T



Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient


I think the answer is A. The Standard Deviation of Set S is greater than Standard Deviation of Set T.
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 [#permalink] New post 27 Sep 2006, 20:36
I would say E.

(1) The fact that S's range is greater than T's range does not mean that S's SD is greater. Furthermore, you don't know the number of integers in either range. For example, set S could consist of (2, 4, 6, 8, 10) and set T could consist of (3, 7, 10). In this case, the range of S > T but the SD of T is > S.

(2) Insuff.

(1) and (2) together are also insufficient.
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 [#permalink] New post 29 Sep 2006, 09:44
I think the answer is E as well.
  [#permalink] 29 Sep 2006, 09:44
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